On spectral properties of fourth order differential operator with periodic and semiperiodic boundary conditions

DOI10.3103/S1066369X15050096zbMath1343.34196MaRDI QIDQ2354937

Dmitry M. Polyakov

Publication date: 27 July 2015

Published in: Russian Mathematics (Search for Journal in Brave)

zbMATH Keywords

spectrumasymptotic expansionsfourth order differential operator

Mathematics Subject Classification ID

General theory of ordinary differential operators (47E05) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (3)

The matrix analysis of spectral projections for the perturbed self-adjoint operators ⋮ Spectral estimates for the fourth-order operator with matrix coefficients ⋮ Spectral analysis of a fourth order differential operator with periodic and antiperiodic boundary conditions

Cites Work

• Sharp eigenvalue asymptotics for fourth order operators on the circle
• Methods of abstract harmonic analysis in the perturbation theory of linear operators
• On the nonself-adjoint ordinary differential operators with periodic boundary conditions
• Spectral estimates for a periodic fourth-order operator
• Uniform estimates for the semi-periodic eigenvalues of the singular differential operators
• SPECTRAL ANALYSIS OF PERTURBED NONQUASIANALYTIC AND SPECTRAL OPERATORS
• The method of similar operators in the spectral analysis of non-self-adjoint Dirac operators with non-smooth potentials
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